LCM of 896, 407, 675, 670, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 407, 675, 670, 766 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 896, 407, 675, 670, 766. So, keep reading to learn more.
Given numbers are 896,407,675,670,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,407,675,670,766 is 6316547529600.
Find LCM of 896,407,675,670,766 with Prime Factorization
| 2 | 896, 407, 675, 670, 766 |
| 5 | 448, 407, 675, 335, 383 |
| 448, 407, 135, 67, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 448 x 407 x 135 x 67 x 383 = 6316547529600
Therefore, the lowest common multiple of 896,407,675,670,766 is 6316547529600.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
896 x 407 x 675 x 670 x 766 = 126330950592000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
407 : 1, 11, 37, 407
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
670 : 1, 2, 5, 10, 67, 134, 335, 670
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,407,675,670,766, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
407:11x 37
675:3x 3x 3x 5x 5
670:2x 5x 67
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 126330950592000/(1x20)
LCM = 126330950592000/20
LCM = 6316547529600
Thus, we can understand that the LCM of 896,407,675,670,766 is 6316547529600.
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FAQs on LCM of 896, 407, 675, 670, 766
1. What is the LCM of 896, 407, 675, 670, 766?
Answer: LCM of 896, 407, 675, 670, 766 is 6316547529600.
2. How to calculate the LCM of 896, 407, 675, 670, 766?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 896, 407, 675, 670, 766.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.